Munter became especially well known during the 1990s by his books on avalanches. These led to a shift of paradigm in the practical assessment of avalanches.
The so-called '3 × 3 Filter- und Reduktionsmethode' is a probabilistic strategy of decision for winter mountaineers (especially skiing mountaineers) for the assessment of avalanche risks in unprotected alpine areas.
Munter's works triggered intensive discussions among mountaineers and mountain guides. Meanwhile, his 'Reduktionsmethode' (method of reduction) or similar decision strategies (Engler, DAV: Snowcard, Larcher/OeAV: Stop or Go) are now routinely taught by the Alpine Clubs (Alpenvereine).

As of 2005[update], Munter is employed at the 'Eidgenössisches Institut für Schnee- und Lawinenforschung' (Swiss institute for research on snow and avalanches) in Davos'.

In 1995, he was proclaimed 'Ehrenbergführer' (honorary mountain guide) by the Swiss association of mountain guides for his merits.